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Finding the Third Proportional to 219,474 and 349,029

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Solution

The third proportional to 219,474 and 349,029 is: 555,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,474 : 349,029 = 349,029 : x
  2. Step 2: Convert to fraction form
    219,474/349,029 = 349,029/x
  3. Step 3: Cross multiply
    219,474x = 349,029 × 349,029
  4. Step 4: Simplify right side
    219,474x = 121,821,242,841
  5. Step 5: Solve for x
    x = 121,821,242,841/219,474
  6. Step 6: Final answer
    x = 555,060.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.